Question

A standing wave is represented by y = A sin (100t) cos (0.01x) where y and A are in millimetres, t in seconds and x in metres. The velocity of the wave is ………

(a) 10⁴ m/s 

(b) 1 m/s 

(c) 10^-4 m/s 

(d) not derivable from the above information

Answer 1

(a) 10⁴ m/s

v = \(\frac{ω}{k}\) = \(\frac{100}{0.10}\) = 10⁴ m/s